Find the general solution of the given differential 1. y" - 4y" - 5y' = 0 d'u d'u %3D 2. 2u = 0 dt3 dt d'u +5- dr4 d'u du 10 dr d'u 3. + 5u =0 dr 2- dr5 dr3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the general solution of the given differential equations.
1. y" - 4y" - 5y' = o
4. y" - 5y" + 3y' + 9y = o
dªy
dx
d'u d'u
2.
d'y
+ 24
dx
2u = 0
5.
16
+9y = 0
dt3
dt?
d'u du
d³x
d³x
+ 12
ds4
d'u
d²x
d'u
+5
dr5
d'u
d*x
3.
+ 5u = 0
dr
6.
+ 8
10
2
- 7
= 0
dr4
dr3
dr?
ds5
ds3
ds?
Transcribed Image Text:Find the general solution of the given differential equations. 1. y" - 4y" - 5y' = o 4. y" - 5y" + 3y' + 9y = o dªy dx d'u d'u 2. d'y + 24 dx 2u = 0 5. 16 +9y = 0 dt3 dt? d'u du d³x d³x + 12 ds4 d'u d²x d'u +5 dr5 d'u d*x 3. + 5u = 0 dr 6. + 8 10 2 - 7 = 0 dr4 dr3 dr? ds5 ds3 ds?
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